Classify the following triangle. Check all that apply.

Mathematics

2 answers:

klasskru [66]3 years ago

5 0

Answer:

Step-by-step explanation:

a. scalene : Reason: all angles and sides are different measurements.

f. acute : all the three angles are acute (Less than 90)

faust18 [17]3 years ago

3 0

Answer: A. Scalene

F. Acute

Step-by-step explanation: Although this may look like an equiladeral triangle, it is actually scalene. If it were an equiladeral triangle, it would have sides that are all the same length and angles. The triangle shown has all three different side lengths, hence, it is scalene.

The angles are also alal acute, meaning the are less than 90 degrees.

Let me know if you have any other questions regarding this topic. :)

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Let n be a positive integer and define [n] to be the set of the first n positive integers. That is, [n] = {1, 2, 3, . . . , n}.

yaroslaw [1]

Answer: There are $2^{n-1}$ ways of doing this

Hi!

To solve this problem we can think in term of binary numbers. Let's start with an example:

n=5, A = {1, 2 ,3}, B = {4,5}

We can think of A as 11100, number 1 meaning "this element is in A" and number 0 meaning "this element is not in A"

And we can think of B as 00011.

Thinking like this, the empty set is 00000, and [n] =11111 (this is the case A=empty set, B=[n])

This representation is a 5 digit binary number. There are $2^5$ of these numbers. Each one of this is a possible selection of A and B. But there are repetitions: 11100 is the same selection as 00011. So we have to divide by two. The total number of ways of selecting A and B is the $2^{5-1} = 2^4$ .